Question

Product  of two numbers is equal to  Product of their L.C.M and H.C.F
If the product of two numbers is 28125 and their H.C.F is 25, then their L.C.M is
A 925
B 1025
C 1125
D 1225​

Answer 1

Answer:

Let the L.C.M be a

25 X a =28125

a=28125/25

a=1125

therefore L.C.M=1125

Answer 2

Given :-

• Product  of two numbers is equal to  Product of their L.C.M and H.C.F
• If the product of two numbers is 28125 and their H.C.F is 25.

To find :-

• LCM of two numbers

Solution :-

• Product of two numbers = 28125

• HCF of two numbers = 25

→ LCM × HCF = Product of two numbers

→ LCM × HCF = a × b

Where " a " is first number and " b " is second number

According to question

→ LCM × HCF = a × b

→ LCM × 25 = 28125

→ LCM = 28125/25

→ LCM = 1125

Hence,

• LCM of two numbers is 1125

• Correct option is (C)

Verification :-

• LCM × HCF = Product of two numbers

→ 1125 × 25 = 28125

→ 28125 = 28125

• Therefore verified